A physician orders penicillin 525,000 units q4h for a child who weighs 55 lbs. The recommended dosage is 100,000 250,000 units/kg/day in six divided doses. The pharmacy stocks the 200,000 units/mL concentration. What is the child's weight in kg? What is the safe daily dosage range for this child? Is the ordered dose safe?

a. 24.9476 Kg.

b. The safe daily dosage range is between 2494760 units / day and 6236900 units/day

c. Yes

Step-by-step explanation:

a. Lets see the convertion from lb to Kg:

1 Lb = 0.453592 55 lb = 0.453592*55 = 24.9476 kg

b. Minimum daily dosage is 100,000 units / kg

For this kid: 100,000 * 24.9476 = 2,494,760 units / day in 6 dosis; 2494760/6 = 415,793.33 units every 4 hours

Maximun daily dosage is 250,000 units / kg

For this kid: 250,000 * 24.9476 = 6,236,900 units / day in 6 dosis; 6,236,900/6 = 1,039,483.33 units every 4 hours

c: Yes, because 525.000 units every 4 hours is between the minimun and maximun dosaje for this kid